The correct answer is that the focus is, <u><em>(0,−2)</em></u>
I need the answer too... someone help
Answer:
The plates will not fit into the box.
Step-by-step explanation:
Each plate is 0.5 inches tall; therefore, the stack of 8 plates will have a height of
.
Also, the diameter of the largest plate is 10 inches or has a radius of 5 inches, which matches the radius of the cylindrical box; therefore, we know that the stack of plates can fit into the base area of the cylindrical box.
What we want to figure out now is the height of the cylindrical box <em>to see if it is greater than or equal to 4 inches</em>—<em>the height of the stack of plates. </em>
The volume of a cylinder is
, and since for our cylindrical box the volume is 150 cubic inches; therefore,

putting in
and solving for height
we get

,
which is not greater than 4 inches, which means the plates will not fit into the box since the height of the stack is greater than the height of the box.
The first part cannot be answered here without the diagram. However, I can tell you that the model he's building is 1/10 the size of the actual car. That means every measurement on the car is divided by 10 to get the model measurement.
The radius of the car wheel is 27 inches, so the diameter is 54 inches. Using what we know about the model, the correct proportions for the model wheel diameters would be 54 / 10, or 5.4, inches. Therefore, wheels with a diameter of 6 inches would not be in proportion with the model.
The non-terminating decimal that can be converted into a rational number is given by:
0.321321321.
<h3>What are rational and irrational numbers?</h3>
- Rational numbers are numbers that can be represented by fractions, with examples such as numbers that have no decimal parts, or numbers in which the decimal parts are terminating or repeating.
- Irrational numbers are numbers that cannot be represented by fractions, being non-terminating and non-repeating decimals, such as non-exact square roots, and the most common example of an irrational number is the number pi = 3.1415....
In the context of this problem, we are given four non-terminating decimal numbers, in which the only one with a repeating decimal pattern is:
0.321321321...
In which the pattern is:
321.
Hence the number can be written as the following rational number = fraction:
321/999.
With 999 being due to the fact that the repeating pattern is composed by three digits.
More can be learned about rational numbers at brainly.com/question/12088221
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